Introduction to Functions — Test Answers

If f of x is equal to 7 plus 4 x and g of x is equal to 1 over 2 x , what is the value of open paren f over g close paren of 5 ?

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function. Is Shayla applying the vertical line test correctly?

What is the equation of the line perpendicular to 2 x minus 3 y is equal to 13 that passes through the point open paren negative 6 comma 5 close paren ?

The value, cap v times m , of a comic book m months after publication has an average rate of change of negative 0 point 0 4 between m is equal to 36 and m is equal to 60 Which statement must be true?

Which of the following is an even function?

If h of x is the inverse of f of x , what is the value of h of f of x ?

Given p is not equal to q is not equal to 0 , what is the equation of the line that passes through the points open paren negative p comma negative q close paren and open paren p comma q close paren ?

Which characteristic of a data set makes a linear regression model unreasonable?

If f of x is an even function and open paren 6 comma 8 close paren is one the points on the graph of f of x , which reason explains why open paren negative 6 comma 8 close paren must also be a point on the graph?

If A times x is equal to 2 x minus 4 and b times x is equal to x plus 2 , which of the following expressions produces a quadratic function?

If f of x is equal to 1 ninth x minus 2 , what is f inverse of x ?

Which scatterplot has a correlation coefficient closest to r is equal to negative 1 ?

If f of x is equal to x plus 7 and g of x is equal to the fraction with numerator 1 and denominator x minus 13 , what is the domain of open paren f circ g close paren times x ?

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours? Time Elapsed (Hours) Miles Traveled (Miles) 0 point 5 0 2 point 0 0 0 point 7 5 3 point 5 0 1 point 0 0 4 point 7 5

If c times x is equal to 4 x minus 2 and d times x is equal to x squared plus 5 x , what is open paren c circ d close paren times x ?

If A times x is equal to 3 x plus 1 and b times x is equal to square root of x minus 4 end root , what is the domain of open paren b circ A close paren times x ?

Given f of x is equal to 17 minus x squared , what is the average rate of change in f of x over the interval left bracket 1 comma 5 right bracket ?

Which graph represents the same relation as the table? x f of x negative 2 5 0 1 1 negative 1 2 negative 3

A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold 16 dollars comma 000 worth of goods and was paid 1 dollars comma 600 Two months ago, she had 12 dollars comma 000 in sales and was paid 1 dollars comma 400 This month she sold 11 dollars comma 000 worth of goods. How much will she be paid?

Which graph represents an odd function?