Home
Class 10
MATHS
The complete graph of the functions h is...


The complete graph of the functions h is shown in the xy plane above. For what value of x is the value of h(x) at its maximum?

A

`5`

B

`6`

C

`8`

D

`10`

Text Solution

Verified by Experts

The correct Answer is:
B

Difficult:Medium
Category: Passport to Advanced Math/ Functions
Strategic Advice: The maximum of a function is the point at which the range (the y-values) of the fuction is at its highest. Identify that point on the graph, and then determine the corresponding x-value. Pay careful attention to the axis labels-they are not given in increments of 1 . ltbgt Getting to the Answer: The maximum value of h(x) (the highest point h reaches on the graph) is 8. Drop down from the maximum to the x-axis to find that the corresponding x-values is 6, which matches (B).
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    KAPLAN|Exercise FUNCTIONS FOLLOW - UP TEST|6 Videos
  • INQUALITIES

    KAPLAN|Exercise Multiple Choice Question|20 Videos

Similar Questions

Explore conceptually related problems

The complete graph of the function f is shown in the xy-plane above. For what value of x is the value of f(x) at its minimum?

Graphs of the functions f and g are shown in the xy-plane above. For which of the following values of x does f(x) + g(x) =0 ?

The complete graph of the function f is shown in the xy plane above. Which of the following is/are equal to -2? I.f(-1) II.f(0) III. f((7)/(2))

The graph of y = f (x) is shown in the xy -plane. What is the value of f (0) ?

The graph of the linear functions f is shown in the xy-plane above. The slope of the graph of the linear function g is 4 times the slope of the graph of f. IF the graph of g passes through the point (0,-4) what is the value of g(9)?

The complete graph of the function f is shown in the xy-plane above. Which of the following are equal to 1 ? I. f(-4) II. f((3)/(2)) III. f(3)

An exponential function g(x) is shown in the figure above. What is the exact value of g(-4)?

Several values for the functions g (x) and h (x) are shown in the table above. What is the value of g (h(3)) ?

The graph of the linear function f is shown in the xy-plane above. The graph of the linear function g (not shown) is perpendicular to the graph of f and passes through the point (1,3). What is the value of g(0) ?

KAPLAN-FUNCTIONS AND FUNCTION NOTATION-Multiple Choice Question
  1. If f(x)=x^(2)+6, what is the value of f(3)?

    Text Solution

    |

  2. If the above graph shows f(x)=7x^(2), which of the following is the gr...

    Text Solution

    |

  3. If g(x) respresents a quadratic function, which of the following best ...

    Text Solution

    |

  4. If p(x) is the polynomial functions shown in the graph above, which of...

    Text Solution

    |

  5. The graph of y=f(x) is given above. For what value of x is y=f(x-4) un...

    Text Solution

    |

  6. If f(x)=|x^(2)+2x+1|,what is the value of f(-4)?

    Text Solution

    |

  7. f(s)=(s)/(25)+1 A collage compus has vending machines which must be ...

    Text Solution

    |

  8. What is the maximum value of the functions graphed on the coordinate p...

    Text Solution

    |

  9. The complete graph of the functions h is shown in the xy plane above. ...

    Text Solution

    |

  10. g(x)=(x)/(x-2) and h(x)=sqrt(9-x) Given of the following defined abo...

    Text Solution

    |

  11. The polynomial function shown in the graph crosses the x-axis at x=-5,...

    Text Solution

    |

  12. If f(x)=(1)/(sqrt(x)), what is the domain of f(x)?

    Text Solution

    |

  13. The complete graph of the function f is shown in the xy plane above. W...

    Text Solution

    |

  14. The polynomial function p is defined by p(x)=4x^(3)+bx^(2)+41x+12, whe...

    Text Solution

    |

  15. The figure above shows the graph of h(x) on the interval -6lexle6. If ...

    Text Solution

    |

  16. A function satisfies g(5)=3 and g(3)=0, and a function h satisfies h(3...

    Text Solution

    |

  17. If f(x+2)=x^(2)-x+9, then what is the value of f(-6)?

    Text Solution

    |

  18. If g(x+3)=x^(2)+2x+1, then which of the following gives g(x)?

    Text Solution

    |

  19. A commercial airline has calculated that the approximately fuel mileag...

    Text Solution

    |

  20. An exponential function g(x) is shown in the figure above. What is the...

    Text Solution

    |